Results 41 to 50 of about 9,340 (278)
Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art
Advanced Intelligent Discovery, EarlyView.Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser +6 more
wiley +1 more source
Infinite System of Differential Equations in Some Spaces
Abstract and Applied Analysis, 2012 The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
doaj +1 more source
Codimension formulae for the intersection of fractal subsets of Cantor spaces
, 2015 We examine the dimensions of the intersection of a subset E of an m-ary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric.
Falconer, Kenneth John, Donoven, Casey
core +1 more source
BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models
Advanced Intelligent Systems, EarlyView.This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan +7 more
wiley +1 more source
How to extend Carath\'eodory's theorem to lattice-valued functionals
Results in Nonlinear Analysis, 2020 Substituting in the definition of outer measure the addition with the maximum (or the supremum, or the join) operation we obtain a new set function called retuo measure. It is proved that every retuo measure is an outer measure.
Nutefe Kwami Agbeko
doaj
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
ChemSusChem, Volume 18, Issue 6, March 15, 2025.The product profile of enzymatically hydrolyzed PET can be modified by medium engineering and thereby adapted to a desired product. TPA, MHET or BHET can be forced as the predominant product using a basic pH (blue), 25 % ethylene glycol (EG) and IsPETasewt (green) or ≥25 % EG and LCCICCG (pink), respectively.
Tobias Heinks +8 more
wiley +1 more source
The hausdorff metric and measurable selections
Topology and its Applications, 1985 We contruct measurable selections for closed set-valued maps into arbitrary complete metric spaces. We do not need to make any separability assumptions. We view the set-valued maps as point-valued maps into the hyperspace and our measurability assumptions are the usual kinds of measurability of point-valued maps in this setting.
Himmelberg, C.J. +2 more
openaire +1 more source
A Hausdorff measure inequality
, 1976 We prove that the Hausdorff ( m + k ) (m + k) -measure of a product set is no less than the product of the Hausdorff m-measure of the (measurable) first component set in
Lawrence R. Ernst, Gerald Freilich
core +1 more source
Health Care Science, EarlyView.We developed a lightweight deep learning framework that integrates frequency‐ and spatial‐domain ultrasound features with segmentation‐assisted classification for hepatic echinococcosis diagnosis. The model outperformed existing state‐of‐the‐art methods in both accuracy and inference speed while requiring substantially fewer computational resources ...
Zhu He +11 more
wiley +1 more source